Doping dependence of the electron-phonon and electron-spin fluctuation interactions in the high-$T_{c}$ superconductor Bi$_{2}$Sr$_{2}$CaCu$_{2}$O$_{8+\delta}$

Using ultrafast optical techniques, we detect two types of bosons strongly coupled to electrons in the family of Bi $_{2}$ Sr $_{2}$ CaCu $_{2}$ O $_{8 + δ}$ from the underdoped to overdoped regimes. The different doping dependences of the electron-boson coupling strengths enables us to identify them as phonons and spin fluctuations: electron-phonon coupling ( $λ_{e - p h}$ ) peaks at optimal doping, and electron-spin fluctuation coupling ( $λ_{e - s f}$ ) decreases monotonically with doping. This observation is consistent with two facts: (1) superconductivity is in close proximity with antiferromagnetism at low dopings, and (2) a pronounced lattice renormalization effect at larger dopings.

Doping dependence of the electron-phonon and electron-spin fluctuation interactions in the high- $T_{c}$ superconductor Bi $_{2}$ Sr $_{2}$ CaCu $_{2}$ O $_{8 + δ}$

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Doping dependence of the electron-phonon and electron-spin fluctuation interactions in the high- $T_{c}$ superconductor Bi $_{2}$ Sr $_{2}$ CaCu $_{2}$ O $_{8 + δ}$

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Doping dependence of the electron-phonon and electron-spin fluctuation interactions in the high-TcTc​ superconductor Bi22​Sr22​CaCu22​O8+δ8+δ​

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Doping dependence of the electron-phonon and electron-spin fluctuation interactions in the high-TcTc​ superconductor Bi22​Sr22​CaCu22​O8+δ8+δ​

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Doping dependence of the electron-phonon and electron-spin fluctuation interactions in the high- $T_{c}$ superconductor Bi $_{2}$ Sr $_{2}$ CaCu $_{2}$ O $_{8 + δ}$

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Doping dependence of the electron-phonon and electron-spin fluctuation interactions in the high- $T_{c}$ superconductor Bi $_{2}$ Sr $_{2}$ CaCu $_{2}$ O $_{8 + δ}$

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